Question

A person, rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going downstream. Find the speed of the stream.

Pls tell how to solve this

Answer 1

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Speed of the boat in water =.5 km/hr
Let the speed of the stream be x km/hr.
THEN.....

the speed of the boat upstream will be (5-x) km / hr OK

the speed of the boat downstream is (5+x) k/hr
Time given to cover 40 km upstream

= 3(time taken to cover dowmstream)

< SOLUTION >

⇒40/ (5-x) km/hr = 3(5+x)
⇒1/(5-x)=3(5+x)
⇒5+x=15-3x
⇒x+3x=15-5
⇒4x=10
⇒X=10/4
⇒X=5/2

∴x=2.5 km/hr

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